TSTP Solution File: GRP417-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP417-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:22:31 EDT 2024
% Result : Unsatisfiable 50.57s 7.19s
% Output : CNFRefutation 50.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 2
% Syntax : Number of clauses : 57 ( 57 unt; 0 nHn; 3 RR)
% Number of literals : 57 ( 56 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 169 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c_93,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_121,plain,
inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))))) = X2,
inference(superposition,[status(thm)],[c_93,c_49]) ).
cnf(c_131,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X0),X0))))) = X2,
inference(superposition,[status(thm)],[c_93,c_49]) ).
cnf(c_202,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(X2))))),inverse(multiply(inverse(X1),X1))) = inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3)))))),
inference(superposition,[status(thm)],[c_131,c_49]) ).
cnf(c_277,plain,
multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(inverse(X1),X1)))))))) = X2,
inference(superposition,[status(thm)],[c_202,c_131]) ).
cnf(c_293,plain,
multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))) = X2,
inference(superposition,[status(thm)],[c_202,c_49]) ).
cnf(c_300,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2)))))),inverse(multiply(inverse(X1),X1)))) = X2,
inference(superposition,[status(thm)],[c_202,c_121]) ).
cnf(c_410,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X3)))),inverse(multiply(inverse(inverse(multiply(X1,X2))),inverse(multiply(X1,X2)))))) = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))))))),
inference(superposition,[status(thm)],[c_49,c_277]) ).
cnf(c_913,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X1),X1)))))))))) = X2,
inference(superposition,[status(thm)],[c_410,c_49]) ).
cnf(c_929,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1))))))))) = X2,
inference(superposition,[status(thm)],[c_410,c_131]) ).
cnf(c_1023,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_121,c_913]) ).
cnf(c_1363,plain,
inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,inverse(inverse(multiply(multiply(X1,X2),inverse(multiply(X3,inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,X2))))))))))) = X3,
inference(superposition,[status(thm)],[c_1023,c_913]) ).
cnf(c_1466,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_121,c_929]) ).
cnf(c_15282,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X2))))) = inverse(multiply(X0,inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X2))))),
inference(superposition,[status(thm)],[c_1363,c_300]) ).
cnf(c_15695,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2))))))) = inverse(multiply(X0,inverse(multiply(inverse(X3),X3)))),
inference(superposition,[status(thm)],[c_293,c_15282]) ).
cnf(c_16643,plain,
inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))) = inverse(multiply(X0,inverse(multiply(inverse(X2),X2)))),
inference(superposition,[status(thm)],[c_15695,c_15695]) ).
cnf(c_17133,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(X3),X3))))))),inverse(multiply(inverse(X0),X0)))))) = multiply(X2,inverse(multiply(inverse(X4),X4))),
inference(superposition,[status(thm)],[c_16643,c_49]) ).
cnf(c_17155,plain,
inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X3),X3)))))) = X2,
inference(superposition,[status(thm)],[c_16643,c_49]) ).
cnf(c_17198,plain,
inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X3),X3))))))) = X2,
inference(superposition,[status(thm)],[c_16643,c_121]) ).
cnf(c_17216,plain,
multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X3),X3))))) = X2,
inference(superposition,[status(thm)],[c_16643,c_131]) ).
cnf(c_17253,plain,
multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(inverse(X3),X3)))))))) = X2,
inference(superposition,[status(thm)],[c_16643,c_277]) ).
cnf(c_17259,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2)))))),inverse(multiply(inverse(X3),X3)))) = X2,
inference(superposition,[status(thm)],[c_16643,c_300]) ).
cnf(c_17270,plain,
inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))))))) = inverse(inverse(multiply(inverse(X1),X1))),
inference(superposition,[status(thm)],[c_16643,c_913]) ).
cnf(c_18442,plain,
multiply(X0,inverse(multiply(inverse(X1),X1))) = multiply(X0,inverse(multiply(inverse(X2),X2))),
inference(superposition,[status(thm)],[c_17133,c_17133]) ).
cnf(c_20901,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))))))),inverse(multiply(inverse(X3),X3)))) = inverse(multiply(inverse(X4),X4)),
inference(superposition,[status(thm)],[c_18442,c_17259]) ).
cnf(c_21045,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X1),X1)))) = inverse(multiply(inverse(X2),X2)),
inference(light_normalisation,[status(thm)],[c_20901,c_17270]) ).
cnf(c_21408,plain,
inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[status(thm)],[c_21045,c_21045]) ).
cnf(c_22043,plain,
inverse(multiply(inverse(X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))))) = X0,
inference(superposition,[status(thm)],[c_21408,c_17155]) ).
cnf(c_22055,plain,
inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_21408,c_21408]) ).
cnf(c_22098,plain,
inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))))))) = X0,
inference(superposition,[status(thm)],[c_21408,c_17198]) ).
cnf(c_22116,plain,
multiply(inverse(inverse(X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2))))) = X0,
inference(superposition,[status(thm)],[c_21408,c_17216]) ).
cnf(c_22569,plain,
multiply(inverse(X0),inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))))))) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_22055,c_17253]) ).
cnf(c_22741,plain,
multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(light_normalisation,[status(thm)],[c_22569,c_22098]) ).
cnf(c_29920,plain,
multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_22116,c_22741]) ).
cnf(c_30453,plain,
multiply(inverse(X0),inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))))))) = inverse(multiply(inverse(X3),X3)),
inference(superposition,[status(thm)],[c_29920,c_17253]) ).
cnf(c_30482,plain,
multiply(inverse(inverse(X0)),inverse(multiply(inverse(X1),X1))) = X0,
inference(superposition,[status(thm)],[c_29920,c_22116]) ).
cnf(c_30484,plain,
inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))) = X0,
inference(superposition,[status(thm)],[c_29920,c_22043]) ).
cnf(c_30713,plain,
inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(light_normalisation,[status(thm)],[c_30453,c_22098]) ).
cnf(c_30724,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2))))) = X2,
inference(demodulation,[status(thm)],[c_17259,c_30484]) ).
cnf(c_32100,plain,
multiply(inverse(inverse(X0)),inverse(inverse(multiply(inverse(X1),X1)))) = X0,
inference(superposition,[status(thm)],[c_30713,c_30482]) ).
cnf(c_39976,plain,
multiply(inverse(multiply(inverse(inverse(X0)),inverse(X1))),X0) = X1,
inference(superposition,[status(thm)],[c_32100,c_30724]) ).
cnf(c_40206,plain,
multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_30713,c_39976]) ).
cnf(c_40221,plain,
multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[status(thm)],[c_22741,c_39976]) ).
cnf(c_40563,plain,
multiply(inverse(multiply(multiply(inverse(X0),X0),X1)),X2) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_40206,c_1466]) ).
cnf(c_40574,plain,
multiply(inverse(multiply(multiply(inverse(X0),X0),X1)),inverse(inverse(multiply(X1,X2)))) = X2,
inference(superposition,[status(thm)],[c_40206,c_30724]) ).
cnf(c_40616,plain,
multiply(inverse(X0),inverse(inverse(multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_40574,c_40206]) ).
cnf(c_40617,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(light_normalisation,[status(thm)],[c_40563,c_40206]) ).
cnf(c_41068,plain,
inverse(inverse(multiply(multiply(inverse(X0),X0),X1))) = X1,
inference(superposition,[status(thm)],[c_40616,c_40221]) ).
cnf(c_41071,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_41068,c_40206]) ).
cnf(c_41103,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_40616,c_41071]) ).
cnf(c_41143,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_41071,c_41103]) ).
cnf(c_52624,plain,
multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_40617,c_41143]) ).
cnf(c_52710,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_41103,c_52624]) ).
cnf(c_52765,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c_50,c_52710]) ).
cnf(c_52766,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_52765]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP417-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.15/0.34 % Computer : n009.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 2 23:36:41 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running UEQ theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 50.57/7.19 % SZS status Started for theBenchmark.p
% 50.57/7.19 % SZS status Unsatisfiable for theBenchmark.p
% 50.57/7.19
% 50.57/7.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 50.57/7.19
% 50.57/7.19 ------ iProver source info
% 50.57/7.19
% 50.57/7.19 git: date: 2024-05-02 19:28:25 +0000
% 50.57/7.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 50.57/7.19 git: non_committed_changes: false
% 50.57/7.19
% 50.57/7.19 ------ Parsing...successful
% 50.57/7.19
% 50.57/7.19
% 50.57/7.19
% 50.57/7.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 50.57/7.19
% 50.57/7.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 50.57/7.19
% 50.57/7.19 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 50.57/7.19 ------ Proving...
% 50.57/7.19 ------ Problem Properties
% 50.57/7.19
% 50.57/7.19
% 50.57/7.19 clauses 2
% 50.57/7.19 conjectures 1
% 50.57/7.19 EPR 0
% 50.57/7.19 Horn 2
% 50.57/7.19 unary 2
% 50.57/7.19 binary 0
% 50.57/7.19 lits 2
% 50.57/7.19 lits eq 2
% 50.57/7.19 fd_pure 0
% 50.57/7.19 fd_pseudo 0
% 50.57/7.19 fd_cond 0
% 50.57/7.19 fd_pseudo_cond 0
% 50.57/7.19 AC symbols 0
% 50.57/7.19
% 50.57/7.19 ------ Input Options Time Limit: Unbounded
% 50.57/7.19
% 50.57/7.19
% 50.57/7.19 ------
% 50.57/7.19 Current options:
% 50.57/7.19 ------
% 50.57/7.19
% 50.57/7.19
% 50.57/7.19
% 50.57/7.19
% 50.57/7.19 ------ Proving...
% 50.57/7.19
% 50.57/7.19
% 50.57/7.19 % SZS status Unsatisfiable for theBenchmark.p
% 50.57/7.19
% 50.57/7.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.57/7.19
% 50.57/7.19
%------------------------------------------------------------------------------